3 years ago

2k - 3(4 - k) = 3k + 4 whats k?

Mathematics

1 answer:

neonofarm [45]3 years ago

7 0

They got it wrong it is actually k=8

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The graph of an exponential function passes through (2,−32) and (3,−64). Find the exponential function that describes the graph.

Greeley [361]

Answer: $y=(-8)2^x$

Step-by-step explanation:

The exponential function will have this form:

$y=ab^x$

We know that the function passes through the points $(2,-32)$ and $(3,-64)$ . Then, we can substitute the coordinates of the point $(2,-32)$ into $y=ab^x$ and solve for "a":

$-32=ab^2\\\\a=\frac{-32}{b^2}$

Then, we know that:

$y=(\frac{-32}{b^2})b^x$

Now, we neeed to substitute the coordinates of the second point $(3,-64)$ into $y=(\frac{-32}{b^2})b^x$ and solve for "b":

$-64=(\frac{-32}{b^2})b^3\\\\-64=-32b\\\\\frac{-64}{-32}=b\\\\b=2$

Substituting the value of "b" into $a=\frac{-32}{b^2}$ we can find "a":

$a\frac{-32}{2^2}\\\\a=-8$

Therefore, we get that the exponential function that describes the graph, is:

$y=(-8)2^x$

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3 years ago

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Masteriza [31]

Answer:

Step-by-step explanation:

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3 years ago

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Ad libitum [116K]

Answer:

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Step-by-step explanation:

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3 years ago

The volume of a rectangular prism is 2x^3 + 9x^2 - 8x -36 with height x + 2. Using synthetic division, what is the area of the b

Luba_88 [7]

Answer:

Step-by-step explanation:

x+2=0

x=-2

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| -4 -10 36

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3 years ago

The perimeter of a rectangle is 90 cm the length is 27 cm what is the width of the rectangle

ser-zykov [4K]

Answer:

width = 18 cm

Step-by-step explanation:

perimeter of rectangle = 2(length + width)

then:

90 = 2(27+w)

90/2 = 27+w

w = width

45 = 27+w

45 - 27 = w

18 = w

Check:

90 = 2(27+18)

90 =2*45 =

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3 years ago